Details

Time bar (total: 1.7s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample19.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify182.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (180.0ms)

IterNodesCost
0236419
1236419

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
0.1b
(* 3.0 (* v v))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity associate-*r*
17×pow1
15×associate-*l*
14×times-frac
11×sqrt-prod
10×sqrt-div prod-exp cbrt-unprod
7×associate-*r/ pow-prod-down
5×flip3-- flip-- unswap-sqr
4×frac-times associate-*l/ add-log-exp
3×*-commutative difference-of-squares
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 106
Calls
4 calls:
15.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
6.0ms
(* 3.0 (* v v))

series34.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
15.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
3.0ms
(* 3.0 (* v v))

simplify33.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050652096

prune208.0ms

Filtered
84 candidates to 118 candidates (-40.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh011
Picked011
Done000
Total1173120

Merged error: 0b

Counts
120 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt 2.0) (exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))
0.0b
(exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))))
0.1b
(* 3.0 (* v v))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×pow1
11×add-cbrt-cube
10×add-exp-log add-cube-cbrt log-div *-un-lft-identity exp-diff sqrt-div
9×associate-*l*
7×associate-*r/ sqrt-prod
5×exp-prod flip3-- associate-*r* pow-prod-down flip--
4×frac-times associate-*l/ prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×log-prod exp-sum log-pow *-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 rem-exp-log
Counts
4 → 81
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms
(* (sqrt 2.0) (exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))
9.0ms
(exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))))
6.0ms
(* 3.0 (* v v))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
15.0ms
(* (sqrt 2.0) (exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))
11.0ms
(exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))))
3.0ms
(* 3.0 (* v v))

simplify32.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052101597

prune187.0ms

Filtered
70 candidates to 93 candidates (-32.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
20×add-cube-cbrt *-un-lft-identity sqrt-prod
13×add-exp-log add-cbrt-cube
11×pow1
7×associate-*r* unswap-sqr
6×sqrt-div
5×prod-exp cbrt-unprod
4×pow-prod-down
3×flip3-- flip-- add-log-exp
2×frac-times associate-*r/ *-commutative
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
3 → 86
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify39.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049891337
149891337

prune156.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done022
Total95398

Merged error: 0b

Counts
98 → 3

regimes80.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05521
15521

end0.0ms

sample496.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid
0.0ms4×body80nan

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